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Finding the Fourth Proportional to 8,114.78, 11,207.50 and 6,343.86

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Solution

The fourth proportional to 8,114.78, 11,207.50 and 6,343.86 is: 8,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.78 : 11,207.50 = 6,343.86 : x
  2. Step 2: Convert to fraction form
    8,114.78/11,207.50 = 6,343.86/x
  3. Step 3: Cross multiply
    8,114.78x = 11,207.50 × 6,343.86
  4. Step 4: Simplify right side
    8,114.78x = 71,098,810.95
  5. Step 5: Solve for x
    x = 71,098,810.95/8,114.78
  6. Step 6: Final answer
    x = 8,761.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.